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An analytic proof of the Borwein Conjecture
Advances in Mathematics ( IF 1.5 ) Pub Date : 2021-09-22 , DOI: 10.1016/j.aim.2021.108028 Chen Wang 1
中文翻译:
Borwein 猜想的解析证明
更新日期:2021-09-22
Advances in Mathematics ( IF 1.5 ) Pub Date : 2021-09-22 , DOI: 10.1016/j.aim.2021.108028 Chen Wang 1
Affiliation
We provide a proof of the Borwein Conjecture, which states that the coefficients of have a repeating sign pattern of , using analytic methods. The proof is done by utilizing an expansion by Andrews to extract the “main part” of the coefficients, and then bound the various “error terms” that arise from this expansion.
中文翻译:
Borwein 猜想的解析证明
我们提供了 Borwein 猜想的证明,它指出 有一个重复的符号模式 , 使用分析方法。证明是通过利用 Andrews 的展开来提取系数的“主要部分”,然后绑定由此展开产生的各种“误差项”来完成的。